Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter P.2, Problem 2E
Solution

Estimate the coordinates of the points given in graph.

  A0,3, B−3,1, C−2,0, and D4,−1

Given information:

The given graph is:

  Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P.2, Problem 2E , additional homework tip 1

Formula used:

  1. In a graph both the axes are marked with bars with equal length.
  2. The y coordinate of point on x -axis is 0.
  3. The x coordinate of point on y -axis is 0.
  4. The right side of x axis from the center is of positive points, and left is of negative.
  5. The above side of y axis from the center is of positive points, and downward side is of negative.

Calculation:

To estimate the coordinates of points, A, B, C and D note that both the axes( x and y ) in graph are divided equally with bars.

Since the first bar in x axis is marked 1, i.e. second should be 2, third is 3, and so on, similarly for y axis first is marked 1, i.e. second is 2, third is 3, and so on.

Since, point A is on y -axis, i.e. the x coordinate of point A is 0 and it is on third bar above the center along y-axis(i.e. positive), i.e. it’s y coordinate is 3. Thus, the coordinate of point A is (0,3).

Similarly, for point B note that:

  Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P.2, Problem 2E , additional homework tip 2

This point is along 3 bar to the left hand side from center on x- axis, i.e. negative coordinate and 1 bars to the upper side from the center on y- axis, and since each bar is of 1 unit i.e. it’s coordinate is −3,1 .

Now C is on x -axis thus it’s y coordinate of point on y -axis is 0, and it is 2 bars left hand side from the center on x- axis, i.e. x -coordinate is negative.

Thus, coordinate of C is:

  −2,0

Similarly, for point D note that

  Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition, Chapter P.2, Problem 2E , additional homework tip 3

Note that it is corresponding to the 4 bars to the right hand side of the x -axis from the center i.e. positive and 1 bars down from the center on y- axis, i.e. negative and since each bar is of 1 unit i.e. it’s coordinate is:

  4,−1

Thus, coordinates of given points are:

  A0,3, B−3,1, C−2,0, and D4,−1

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Chapter P.2, Problem 1E
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Chapter P.2, Problem 3E

Chapter P Solutions

Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition

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